v2.0.0

Manifest.toml

@@ -1,6 +1,6 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.9.0"
+julia_version = "1.9.1"
 manifest_format = "2.0"
 project_hash = "763b1c5ecc071159fd0cf313318cb6ddff9235f2"
 
@@ -182,9 +182,9 @@ uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
 deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "c72970914c8a21b36bbc244e9df0ed1834a0360b"
+git-tree-sha1 = "4ed4a6df2548a72f66e03f3a285cd1f3b573035d"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.95"
+version = "0.25.96"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
@@ -218,10 +218,10 @@ uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
 version = "2.2.4+0"
 
 [[deps.Expat_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
-version = "2.4.8+0"
+version = "2.5.0+0"
 
 [[deps.Extents]]
 git-tree-sha1 = "5e1e4c53fa39afe63a7d356e30452249365fba99"
@@ -242,9 +242,9 @@ version = "4.4.2+2"
 
 [[deps.FFTW]]
 deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
-git-tree-sha1 = "f9818144ce7c8c41edf5c4c179c684d92aa4d9fe"
+git-tree-sha1 = "b4fbdd20c889804969571cc589900803edda16b7"
 uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
-version = "1.6.0"
+version = "1.7.1"
 
 [[deps.FFTW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -263,9 +263,9 @@ uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "ed569cb9e7e3590d5ba884da7edc50216aac5811"
+git-tree-sha1 = "e17cc4dc2d0b0b568e80d937de8ed8341822de67"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.1.0"
+version = "1.2.0"
 
 [[deps.FixedPointNumbers]]
 deps = ["Statistics"]
@@ -327,9 +327,9 @@ version = "3.3.8+0"
 
 [[deps.GLMakie]]
 deps = ["ColorTypes", "Colors", "FileIO", "FixedPointNumbers", "FreeTypeAbstraction", "GLFW", "GeometryBasics", "LinearAlgebra", "Makie", "Markdown", "MeshIO", "ModernGL", "Observables", "PrecompileTools", "Printf", "ShaderAbstractions", "StaticArrays"]
-git-tree-sha1 = "3d1c61fbaa0d688c1fbd80e393c8010457d5e409"
+git-tree-sha1 = "6e3ff93abf0f3ec09989359067a4575e72471981"
 uuid = "e9467ef8-e4e7-5192-8a1a-b1aee30e663a"
-version = "0.8.5"
+version = "0.8.6"
 
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
@@ -392,9 +392,9 @@ version = "2.8.1+1"
 
 [[deps.HypergeometricFunctions]]
 deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
-git-tree-sha1 = "84204eae2dd237500835990bcade263e27674a93"
+git-tree-sha1 = "0ec02c648befc2f94156eaef13b0f38106212f3f"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.16"
+version = "0.3.17"
 
 [[deps.ImageAxes]]
 deps = ["AxisArrays", "ImageBase", "ImageCore", "Reexport", "SimpleTraits"]
@@ -476,9 +476,9 @@ uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4"
 version = "0.1.1"
 
 [[deps.IterTools]]
-git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
+git-tree-sha1 = "4ced6667f9974fc5c5943fa5e2ef1ca43ea9e450"
 uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
-version = "1.4.0"
+version = "1.8.0"
 
 [[deps.IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
@@ -521,6 +521,12 @@ git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
 uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
 version = "3.100.1+0"
 
+[[deps.LLVMOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "f689897ccbe049adb19a065c495e75f372ecd42b"
+uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
+version = "15.0.4+0"
+
 [[deps.LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
@@ -611,9 +617,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "0a1b7c2863e44523180fdb3146534e265a91870b"
+git-tree-sha1 = "c3ce8e7420b3a6e071e0fe4745f5d4300e37b13f"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.23"
+version = "0.3.24"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -630,9 +636,9 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.MKL_jll]]
 deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
-git-tree-sha1 = "2ce8695e1e699b68702c03402672a69f54b8aca9"
+git-tree-sha1 = "154d7aaa82d24db6d8f7e4ffcfe596f40bff214b"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
-version = "2022.2.0+0"
+version = "2023.1.0+0"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
@@ -642,9 +648,9 @@ version = "0.5.10"
 
 [[deps.Makie]]
 deps = ["Animations", "Base64", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "Match", "MathTeXEngine", "MiniQhull", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Setfield", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
-git-tree-sha1 = "3a9ca622a78dcbab3a034df35d1acd3ca7ad487d"
+git-tree-sha1 = "a6695a632992a2e19ae1a1d0c9bee0e137e2f3cb"
 uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
-version = "0.19.5"
+version = "0.19.6"
 
 [[deps.MakieCore]]
 deps = ["Observables"]
@@ -770,10 +776,10 @@ uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
 version = "0.8.1+0"
 
 [[deps.OpenSSL_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "9ff31d101d987eb9d66bd8b176ac7c277beccd09"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1aa4b74f80b01c6bc2b89992b861b5f210e665b5"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "1.1.20+0"
+version = "1.1.21+0"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -823,15 +829,15 @@ version = "0.5.12"
 
 [[deps.Parsers]]
 deps = ["Dates", "PrecompileTools", "UUIDs"]
-git-tree-sha1 = "a5aef8d4a6e8d81f171b2bd4be5265b01384c74c"
+git-tree-sha1 = "5a6ab2f64388fd1175effdf73fe5933ef1e0bac0"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.10"
+version = "2.7.0"
 
 [[deps.Pixman_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
+git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87"
 uuid = "30392449-352a-5448-841d-b1acce4e97dc"
-version = "0.40.1+0"
+version = "0.42.2+0"
 
 [[deps.Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
@@ -857,9 +863,9 @@ version = "0.1.2"
 
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
-git-tree-sha1 = "259e206946c293698122f63e2b513a7c99a244e8"
+git-tree-sha1 = "9673d39decc5feece56ef3940e5dafba15ba0f81"
 uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
-version = "1.1.1"
+version = "1.1.2"
 
 [[deps.Preferences]]
 deps = ["TOML"]
@@ -916,9 +922,9 @@ version = "0.3.2"
 
 [[deps.Ratios]]
 deps = ["Requires"]
-git-tree-sha1 = "6d7bb727e76147ba18eed998700998e17b8e4911"
+git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b"
 uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
-version = "0.4.4"
+version = "0.4.5"
 weakdeps = ["FixedPointNumbers"]
 
     [deps.Ratios.extensions]
@@ -1028,9 +1034,9 @@ uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00"
+git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.1.0"
+version = "1.1.1"
 
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
@@ -1060,9 +1066,9 @@ version = "0.1.1"
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "8982b3607a212b070a5e46eea83eb62b4744ae12"
+git-tree-sha1 = "832afbae2a45b4ae7e831f86965469a24d1d8a83"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.5.25"
+version = "1.5.26"
 
 [[deps.StaticArraysCore]]
 git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
@@ -1082,9 +1088,9 @@ version = "1.6.0"
 
 [[deps.StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916"
+git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.33.21"
+version = "0.34.0"
 
 [[deps.StatsFuns]]
 deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
@@ -1304,7 +1310,7 @@ version = "0.15.1+0"
 [[deps.libblastrampoline_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.7.0+0"
+version = "5.8.0+0"
 
 [[deps.libfdk_aac_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]

Project.toml

@@ -1,7 +1,7 @@
 name = "Zernike"
 uuid = "e14b762e-e195-443f-a1b1-09f2ab0cc6c8"
 authors = ["Sagnac"]
-version = "1.2.3"
+version = "2.0.0"
 
 [deps]
 GLMakie = "e9467ef8-e4e7-5192-8a1a-b1aee30e663a"

precompile/precompile_script.jl

@@ -8,5 +8,5 @@ fig, coeffs, latex = Z(0, 4)
 wait(fig.scene.current_screens[])
 a, v, metrics, fig = W(ρ, θ, OPD, 8)
 wait(fig.scene.current_screens[])
-b, v2, metrics, fig = S(v, 0.2, 0.17 + 0.17im, float(π), (0.83, 4.18))
+b, v2, metrics, fig = P(v, 0.2, 0.17 + 0.17im, float(π), (0.83, 4.18))
 wait(fig.scene.current_screens[])

src/Zernike.jl

@@ -1,6 +1,6 @@
 # Zernike.jl
-# Version 1.2.3
-# 2023-6-5
+# Version 2.0.0
+# 2023-6-21
 # https://github.com/Sagnac/Zernike.jl
 
 # Generates Zernike polynomials, models wavefront errors, and plots them in Makie.